Found 787 Documents (Results 1–100)
Resonance and stability of 3rd super-harmonic and 1/3rd sub-harmonic of fractional Duffing system. (English) Zbl 07854290
Complex resonance behaviors of weak nonlinear Duffing-van der Pol systems under multi-frequency excitation. (English) Zbl 1536.34039
Forced oscillations of a three-layer plate in an unsteady temperature field. (Russian. English summary) Zbl 07845780
Exact solutions to a family of position-dependent mass damped oscillators from variational \(\lambda\)-symmetries. (English) Zbl 1536.34038
Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. (English) Zbl 1541.37064
Self-sustained oscillations and limit cycles in the Rayleigh system with cubic return force. (English. Russian original) Zbl 07853950
Mech. Solids 58, No. 8, 2764-2769 (2023); translation from Prikl. Mat. Mekh. 87, No. 5, 765-772 (2023).
Qualitative analysis of a mechanical system of coupled nonlinear oscillators. (English) Zbl 1538.34151
Control design for a perturbed system with an ambiguous nonlinearity. (English. Russian original) Zbl 1521.93082
Autom. Remote Control 84, No. 3, 226-239 (2023); translation from Avtom. Telemekh. 2023, No. 3, 44-64 (2023).
Analytical approximations to a generalized forced damped complex Duffing oscillator: multiple scales method and KBM approach. (English) Zbl 1516.34086
Logical vibrational resonance in a symmetric bistable system: numerical and experimental studies. (English) Zbl 1515.34038
Novel slow-fast behaviour in an oscillator driven by a frequency-switching force. (English) Zbl 1514.34032
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO. (English) Zbl 1514.37101
Reviewer: Zhengdong Du (Chengdu)
Fractional damping effects on the transient dynamics of the Duffing oscillator. (English) Zbl 1509.34039
Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation. (English) Zbl 1508.34061
Reversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der Pol oscillator coupled to a Duffing oscillator. (English) Zbl 1505.34057
Modeling of blood cell surface oscillations as fluid-filled multilayer viscoelastic shells. (Ukrainian. English summary) Zbl 1499.76151
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum. (English. Russian original) Zbl 1515.70029
Theor. Math. Phys. 211, No. 2, 692-700 (2022); translation from Teor. Mat. Fiz. 211, No. 2, 295-305 (2022).
Solutions of slowly and periodically varying differential equations. Applications to some classical examples. (English) Zbl 1487.34114
Reviewer: Robert Vrabel (Trnava)
Motion of a solid body with a cavity containing a multilayer ideal fluid. (English. Ukrainian original) Zbl 1521.74052
Int. Appl. Mech. 57, No. 5, 591-603 (2021); translation from Prikl. Mekh., Kiev 57, No. 5, 115-128 (2021).
MSC:
74F10
Dynamics of nonlinearly damped Duffing-Van der Pol oscillator driven by frequency modulated signal. (English) Zbl 1524.34092
An efficient ancient Chinese algorithm to investigate the dynamics response of a fractal microgravity forced oscillator. (English) Zbl 1487.34095
Investigation of the steady-state solution of the fractal forced Duffing’s oscillator using an ancient Chinese algorithm. (English) Zbl 1487.34094
Multiscale topology optimization for frequency domain response with bi-material interpolation schemes. (English) Zbl 1483.74080
A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. (English) Zbl 1501.34020
Periodic solutions and the avoidance of pull-in instability in nonautonomous microelectromechanical systems. (English) Zbl 1484.37101
A new semi-analytical approach for quasi-periodic vibrations of nonlinear systems. (English) Zbl 1482.34114
Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime. (English) Zbl 1476.74103
Dynamics of hysteretic-related Van-der-Pol oscillators: the small parameter method. (English. Russian original) Zbl 1516.34062
J. Comput. Syst. Sci. Int. 60, No. 4, 511-529 (2021); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 7-26 (2021).
New bursting patterns in the Lü system driven by orthogonal parametric excitation and external excitation. (English) Zbl 1481.34073
Optimizing the spring constants of forced, damped and circular spring-mass systems – characterization of the discrete and periodic bi-Laplacian operator. (English) Zbl 1491.70016
On global dynamics in Duffing equation with quasiperiodic perturbation. (Russian. English summary) Zbl 1538.34149
Nonlinear response of a parametric bistable oscillator with multiple excitations. (English) Zbl 1516.70034
On the existence of periodic solution and the transition to chaos of Rayleigh-Duffing equation with application of gyro dynamic. (English) Zbl 1524.34093
On a mathematical model for a damped and driven double-well Bose-Einstein condensate. (English) Zbl 1493.37105
Nonlinear oscillations. Exact solutions and their approximations. (English) Zbl 1482.70001
Cham: Springer (ISBN 978-3-030-53171-3/hbk; 978-3-030-53174-4/pbk; 978-3-030-53172-0/ebook). x, 273 p. (2020).
Reviewer: Piotr Garbaczewski (Opole)
Existence of periodic solutions of pendulum-like ordinary and functional differential equations. (English) Zbl 1474.34264
On the solvability of the periodically forced relativistic pendulum equation on time scales. (English) Zbl 1474.34625
Some results on the existence of forced oscillations in mechanical systems. (English. Russian original) Zbl 1475.70020
Proc. Steklov Inst. Math. 310, 250-261 (2020); translation from Tr. Mat. Inst. Steklova 310, 267-279 (2020).
Phase-amplitude dynamics in terms of extended response functions: invariant curves and Arnold tongues. (English) Zbl 1467.37078
The method of averaging for the Kapitza-Whitney pendulum. (English) Zbl 1466.70020
Reviewer: Cristian Lăzureanu (Timişoara)
Bifurcations in a pre-stressed, harmonically excited, vibro-impact oscillator at subharmonic resonances. (English) Zbl 1478.34046
Oscillation equation of a beam with fixed and pivotally supporter ends. (English. Russian original) Zbl 1445.35023
Mosc. Univ. Math. Bull. 75, No. 2, 53-57 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 2, 3-8 (2020).
The coexisting behaviors on the boundary of a Duffing-like oscillator with signum nonlinearity and its FPGA-based implementation. (English) Zbl 1446.34061
Detection and classification of solutions for systems interacting by soft impacts with sample-based method. (English) Zbl 1446.34060
Vibrational resonance in a fractional order quintic oscillator system with time delay feedback. (English) Zbl 1446.34097
On the existence and stabilization of an upper unstable limit cycle of the damped forced pendulum. (English) Zbl 1447.34042
Reviewer: Oleg Anashkin (Simferopol)
Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling. (English) Zbl 1431.34048
Explorations for alternating FPU-chains with large mass. arXiv:2011.04290
Preprint, arXiv:2011.04290 [math.DS] (2020).
Dissipative and conservative chaotic nature of a new quasi-periodically forced oscillator with megastability. (English) Zbl 07822252
Revisiting the Coulomb-damped harmonic oscillator. (English) Zbl 07670041
Eur. J. Phys. 40, No. 5, Article ID 055004, 9 p. (2019); erratum ibid. 41, No. 2, Article ID 029601, 1 p. (2020).
Regular and chaotic oscillations in a modified Rayleigh-Liénard system under parametric excitation. (English) Zbl 1477.70041
The processes in time varying circuits us generalization of processes in usual circuit. (Russian. English summary) Zbl 1487.94203
MSC:
94C05
Exact steady states of periodically forced and essentially nonlinear and damped oscillator. (English) Zbl 1470.70025
Parameter-splitting perturbation method for the improved solutions to strongly nonlinear systems. (English) Zbl 1437.70033
On limit cycles, resonance and homoclinic structures in asymmetric pendulum-type equation. (English) Zbl 1446.34059
Fast computation of steady-state response for high-degree-of-freedom nonlinear systems. (English) Zbl 1430.70071
Bifurcation modes of periodic solution in a Duffing system under constant force as well as harmonic excitation. (English) Zbl 1435.34039
Functions with average and bounded motions of a forced discontinuous oscillator. (English) Zbl 1443.34020
Reviewer: Satoshi Tanaka (Sendai)
Relaxation oscillations in a nonsmooth oscillator with slow-varying external excitation. (English) Zbl 1427.34066
Boundedness of semilinear Duffing equations at resonance in a critical situation. (English) Zbl 1429.34038
Reviewer: Adeleke Timothy Ademola (Ile-Ife)
Multiple-S-shaped critical manifold and jump phenomena in low frequency forced vibration with amplitude modulation. (English) Zbl 1419.34144
Modeling nonlinear dissipative chemical dynamics by a forced modified van der Pol-Duffing oscillator with asymmetric potential: chaotic behaviors predictions. (English) Zbl 07819495
Existence and stability of periodic solutions for a forced pendulum with time-dependent damping. (English) Zbl 1499.34244
Bouncing periodic solutions for forced Pendulum-type equations with impact. (Chinese. English summary) Zbl 1499.34252
Homoclinic bifurcation in a parametrically driven nonlinearly damped Duffing-Van der Pol oscillator. (Homoclinic bifurcation in a parametrically driven nonlinearly damped Duffing-vander Pol oscillator.) (English) Zbl 1481.34050
On equations with generalized periodic right-hand side. (English) Zbl 1425.34054
Ukr. Math. J. 70, No. 2, 288-318 (2018) and Ukr. Mat. Zh. 70, No. 2, 255-279 (2018).
On stability of the inverted pendulum motion with a vibrating suspension point. (Russian, English) Zbl 1449.70026
Sib. Zh. Ind. Mat. 21, No. 4, 39-50 (2018); translation in J. Appl. Ind. Math. 12, No. 4, 607-618 (2018).
Dynamics of nonlinear primary oscillator with nonlinear energy sink under harmonic excitation: effects of nonlinear stiffness. (English) Zbl 1427.70053
Relay-based hybrid control of minimal-order mechanical systems with applications. (English) Zbl 1406.93146
Response analysis of van der Pol vibro-impact system with Coulomb friction under Gaussian white noise. (English) Zbl 1406.34066
Fast-slow dynamics analysis of a coupled Duffing system with periodic excitation. (English) Zbl 1404.34043
Higher-order approximate steady-state solutions for strongly nonlinear systems by the improved incremental harmonic balance method. (English) Zbl 1400.34057
Nonintegrability of parametrically forced nonlinear oscillators. (English) Zbl 1402.37068
Reviewer: Vladimir P. Kostov (Nice)
Modified Legendre operational matrix of differentiation for solving strongly nonlinear dynamical systems. (English) Zbl 1400.34025
On the stability of the zero solution of a second-order differential equation under a periodic perturbation of the center. (English. Russian original) Zbl 1401.34068
Vestn. St. Petersbg. Univ., Math. 51, No. 1, 31-35 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 1, 41-46 (2018).
On stabilizability of the upper equilibrium of the asymmetrically excited inverted pendulum. (English) Zbl 1413.34208
Dynamics of a linear system coupled to a chain of light nonlinear oscillators analyzed through a continuous approximation. (English) Zbl 1392.34056
Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method. (English) Zbl 1404.65059
Chaotic motions in forced mixed Rayleigh-Liénard oscillator with external and parametric periodic-excitations. (English) Zbl 1388.34027
Experimental and theoretical investigations of a mechanical lever system driven by a DC motor. (English) Zbl 1388.70004
Studying the global bifurcation involving Wada boundary metamorphosis by a method of generalized cell mapping with sampling-adaptive interpolation. (English) Zbl 1388.34031
Functional difference equations in the problem on the forced oscillations of a fluid in an infinite pool with conical bottom. (English. Russian original) Zbl 1387.35499
St. Petersbg. Math. J. 29, No. 2, 267-287 (2018); translation from Algebra Anal. 29, No. 2, 59-88 (2017).
Strongly nonlinear oscillators. Analytical solutions. 2nd edition. (English) Zbl 1367.70001
Mathematical Engineering. Cham: Springer (ISBN 978-3-319-58825-4/hbk; 978-3-319-58826-1/ebook). xii, 317 p. (2018).
Stochastic resonance in a fractional oscillator driven by multiplicative quadratic noise. (English) Zbl 1456.70036
Sub-harmonic resonance solutions of generalized strongly nonlinear Van der Pol equation with parametric and external excitations. (English) Zbl 1424.34130
Fluid dynamics in mobile tank with inclined slat screens. (Russian. English summary) Zbl 1395.76065
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