Found 136 Documents (Results 1–100)
A novel view on the canonical ‘stretching-due-to-bending’ nonlinear effect: a slighly curved beam. (English) Zbl 1531.74047
Electromagnetic field effect on a conducting liquid film flowing down an inclined or vertical plane. (English) Zbl 1530.76028
Interactions of \((m,n)\) and \((m+1,n)\) modes with real eigenvalues: a dynamic transition approach. (English) Zbl 1527.35053
Physically agnostic quasi normal mode expansion in time dispersive structures: from mechanical vibrations to nanophotonic resonances. (English) Zbl 1519.74025
On the superposition of multipolar spherical and cylindrical oscillations in swirling rigid flow. (English) Zbl 1507.76033
Hamiltonian dynamics and targeted energy transfer of a grounded bistable nonlinear energy sink. (English) Zbl 1508.70026
Blue-sky catastrophic bifurcations behind emergence and disappearance of quasiperiodic rubbing oscillations in a piecewise smooth rotor-stator system. (English) Zbl 1540.70034
Nonlinear dynamics of coupled oscillators in 1:2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect. (English) Zbl 1528.70025
Rayleigh-Bénard convection of water-aluminum and water-AA7075 nanoliquids in a vertically vibrated very-shallow cylinder. (English) Zbl 1517.76029
Energy-recurrence breakdown and chaos in disordered Fermi-Pasta-Ulam-Tsingou lattices. (English) Zbl 1507.82047
Optomechanically induced transparency in double-Laguerre-Gaussian-cavity with atomic ensemble. (English) Zbl 1497.81134
The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain. (English) Zbl 1510.76058
Reviewer: Song Jiang (Beijing)
Reduced order models for geometrically nonlinear structures: assessment of implicit condensation in comparison with invariant manifold approach. (English) Zbl 1482.74115
Analytical and numerical study of the influence of different support types in the nonlinear vibrations of beams. (English) Zbl 1475.74058
Higher order normal modes. (English) Zbl 1459.37041
Reviewer: Mohammad Khorrami (Tehran)
The occurrence of multistability and normal mode splitting in an optomechanical system. (English) Zbl 1476.81179
Linear modes for channels of constant cross-section and approximate Dirichlet-Neumann operators. (English) Zbl 1454.76030
Periodic orbits of a conservative 2-DOF vibro-impact system by piecewise continuation: bifurcations and fractals. (English) Zbl 1437.70035
Restricted normal mode analysis and chaotic response of P-mode intrinsic localized mode. (English) Zbl 1430.70072
Simulation of vortex-induced vibration of long-span bridges: a nonlinear normal mode approach. (English) Zbl 1535.74323
Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. (English) Zbl 1397.35286
Families of invariant tori in KAM theory: interplay of integer characteristics. (English) Zbl 1384.37078
Reviewer: Giuseppe Gaeta (Milano)
Numerical analysis of nonlinear modes of piecewise linear systems torsional vibrations. (English) Zbl 1394.70056
Periodic orbits in Hamiltonian systems with involutory symmetries. (English) Zbl 1384.37067
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Influence of sound speed profile on source localization at different depths. (English) Zbl 1370.86006
Oscillatory chain with elastic supports and bending stiffness under conditions close to acoustic vacuum. (Russian. English summary) Zbl 1420.70008
An approach to construct the relationship between the nonlinear normal mode and forced response of nonlinear systems. (English) Zbl 1366.70029
From canards of folded singularities to torus canards in a forced van der Pol equation. (English) Zbl 1346.34042
Reviewer: Nikola Popovic (Edinburgh)
Nonlinear normal modes of essentially nonlinear piecewise-linear systems under periodic excitation. (Russian, English) Zbl 1363.70025
Mat. Metody Fiz.-Mekh. Polya 58, No. 3, 83-90 (2015); translation in J. Math. Sci., New York 226, No. 1, 104-113 (2017).
Reviewer: L. N. Chernetskaja (Kyïv)
Oscillatory chain with grounding support in conditions of acoustic vacuum. (Russian. English summary) Zbl 1381.70037
Infinite-dimensional dynamical systems in atmospheric and oceanic science. (English) Zbl 1303.86002
Hackensack, NJ: World Scientific; Hangzhou: Zhejiang Science and Technology Publishing House (ISBN 978-981-4590-37-2/hbk; 978-7-5341-5935-0/hbk; 978-981-4590-39-6/ebook). x, 318 p. (2014).
Reviewer: Claudia-Veronika Meister (Darmstadt)
Interplay between synaptic delays and propagation delays in neural field equations. (English) Zbl 1284.34116
Nonlinear orientational dynamics of a molecular chain. (English. Russian original) Zbl 1274.82068
Theor. Math. Phys. 168, No. 2, 1048-1063 (2011); translation from Teor. Mat. Fiz. 168, No. 2, 227-244 (2011).
The method of strained coordinates for vibrations with weak unilateral springs. (English) Zbl 1339.70039
Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system. (English) Zbl 1168.70011
Analytical investigation of strongly nonlinear normal mode using homotopy perturbation method and He’s variational method. (English) Zbl 1168.65038
Effect of the bottom topography on nonstationary behavior of an elastic plate floating in shallow water. (Russian, English) Zbl 1183.74145
Prikl. Mat. Mekh. 72, No. 4, 588-600 (2008); translation in J. Appl. Math. Mech. 72, No. 4, 417-426 (2008).
Reviewer: A. Ja. Olejnik (Kyïv)
Transient mode localization in coupled strongly nonlinear exactly solvable oscillators. (English) Zbl 1170.70345
A new fourth-order Fourier-Bessel split-step method for the extended nonlinear Schrödinger equation. (English) Zbl 1134.65074
MSC:
65M70
Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells. (English) Zbl 1180.74022
Bifurcation analysis of hopping behavior in cellular pattern-forming systems. (English) Zbl 1145.35331
Stability of strongly nonlinear normal modes. (English) Zbl 1165.34378
Reviewer: Pedro J. Torres (Granada)
Nonlinear stability characterization of the thin micropolar liquid film flowing down the inner surface of a rotating vertical cylinder. (English) Zbl 1113.76038
Non-linear normal modes and their bifurcation of a two DOF system with quadratic and cubic non-linearity. (English) Zbl 1160.70348
MSC:
70K50
On the coupling of non-linear normal modes. (English) Zbl 1160.70353
MSC:
70K75
Nonlinear stability analysis of thin Newtonian film flowing down on the inner surface of a rotating vertical cylinder. (English) Zbl 1079.76034
Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains. (English) Zbl 1125.82318
A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems. (English) Zbl 1070.65067
Autoparametric resonance of relaxation oscillations. (English) Zbl 1081.34038
Reviewer: Mohan Lal Mehra (Bonn)
Non-linear normal modes and their bifurcation of a class of systems with three double of pure imaginary roots and dual internal resonances. (English) Zbl 1348.70062
Resonant non-linear normal modes. II: Activation/orthogonality conditions for shallow structural systems. (English) Zbl 1346.70018
Resonant non-linear normal modes. I: Analytical treatment for structural one-dimensional systems. (English) Zbl 1346.70019
Linear and nonlinear analyses of convection in a Rivlin-Ericksen fluid-saturated porous medium. (English) Zbl 1179.76028
Finite-element-based nonlinear modal reduction of a rotating beam with large-amplitude motion. (English) Zbl 1156.74328
Bifurcation of nonlinear internal resonant normal modes of a class of multi-degree-of-freedom systems. (English) Zbl 1026.70501
MSC:
70K50
Application of nonlinear normal mode analysis to the nonlinear and coupled dynamics of a floating offshore platform with damping. (English) Zbl 1014.70018
Reviewer: Petre P.Teodorescu (Bucureşti)
Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. (English) Zbl 0999.70019
Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum. (English) Zbl 1011.70021
Dimensional reduction for nonlinear time-delayed systems composed of stiff and soft substructures. (English) Zbl 1027.74034
Reviewer: J.Genin (Las Cruces)
Nonlinear stability analysis of thin viscoelastic film flow traveling down along a vertical cylinder. (English) Zbl 1013.76033
Numerical and asymptotic study of the two-dimensional problem of the hydroelastic behavior of a floating plate in waves. (English. Russian original) Zbl 0981.74013
Prikl. Mekh. Tekh. Fiz. 41, No. 2, 90-96 (2000); translation in J. Appl. Mech. Tech. Phys. 41, No. 2, 286-292 (2000).
Reviewer: N.I.Alexandrova (Novosibirsk)
Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances. (English) Zbl 0960.74032
Reviewer: Teodor Atanackovic (Novi Sad)
Interactions between normal modes in nonlinear dynamical systems with discrete symmetry. Exact results. (English) Zbl 0937.37036
MSC:
37K05
37L20
Parametrically excited nonlinear traveling beams with and without external forcing. (English) Zbl 0936.74043
Advances in study on theories of nonlinear normal modes. (Chinese. English summary) Zbl 0945.70502
A note on the stability theory of buoyancy-driven ocean currents over a sloping bottom. (English) Zbl 0844.76031
Normal modes and localization in nonlinear systems. (English) Zbl 0917.93001
Chichester: John Wiley & Sons. 568 p. (1996).
Instability of a non-wetting film with interfacial viscous stress. (English) Zbl 0859.76031
Reviewer: A.Georgescu (Bucureşti)
Theoretical aspects of gravity-capillary waves in non-rectangular channels. (English) Zbl 0860.76011
Reviewer: L.Debnath (Orlando)
Dynamic large deflection analysis of elastic-plastic Mindlin circular plates. (English) Zbl 0812.73030
The study of instability in stellar dynamics. (English) Zbl 0803.70013
Contopoulos, G. (ed.) et al., Galactic dynamics and N-body simulations. Lectures held at the astrophysics school VI organized by the European Astrophysics Doctoral Network (EADN) in Thessaloniki, Greece, 13-23 July 1993. Berlin: Springer-Verlag. Lect. Notes Phys. 433, 143-189 (1994).
On the baroclinic dynamics, Hamiltonian formulation and general stability characteristics of density-driven surface currents and fronts over a sloping continental shelf. (English) Zbl 0812.76032
Reviewer: G.Zimmermann (Mainz)
Surface-tension instabilities of liquid-lined elastic tubes. (English) Zbl 0787.76028
Cheer, Angela Y. (ed.) et al., Fluid dynamics in biology. Proceedings of an AMS-IMS-SIAM joint summer research conference held July 6-12, 1991 at the University of Washington, Seattle, USA, with support from the National Science Foundation and NASA Headquarters. Providence, RI: American Mathematical Society. Contemp. Math. 141, 295-316 (1993).
Fourth order torsion \(L\)-tensor formulas for anharmonic force constant transformation. (English) Zbl 0880.53061
A simple variational approach to an inversion of the Lagrange-Dirichlet theorem. (English) Zbl 0855.70012
Reviewer: V.Marinca (Timişoara)
Normal modes and global dynamics of a two-degree-of-freedom non-linear system. II: High energies. (English) Zbl 0765.70015
On stability and stabilization of mechanical structures under nonlinear time-varying perturbations. (English) Zbl 0756.70024
Existence and stability of bifurcating tori in a neighborhood of an equilibrium position. (English) Zbl 0728.34056
Reviewer: A.Steindl (Wien)
Some questions in eigenvalue problems in engineering. (English) Zbl 0719.73027
Numerical treatment of eigenvalue problems. Vol. 5, Proc. Workshop, Oberwolfach/Germ. 1990, ISNM 96, 71-107 (1991).
Parametrically forced surface waves. (English) Zbl 0723.76004
Annual review of fluid mechanics 22, 143-165 (1990).
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