Found 3,968 Documents (Results 1–100)
Traveling wave solutions in a modified Leslie-Gower model with diffusion and chemotaxis. (English) Zbl 07920851
Emergence and approximation of tori. (English) Zbl 07920640
Belhaq, Mohamed (ed.), Advances in nonlinear dynamics and control of mechanical and physical systems. Selected articles from CSNDD, Marrakesh, Morocco, May 15–17, 2023. Singapore: Springer. Springer Proc. Phys. 301, 1-22 (2024).
Maximal tori in infinite-dimensional Hamiltonian systems: a renormalisation group approach. (English) Zbl 07920610
KAM for vortex patches. (English) Zbl 07920609
Persistence of multiscale degenerate invariant tori in reversible systems with degenerate frequency mapping. (English) Zbl 07920607
On elliptic lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems with small parameters. (English) Zbl 07920606
Isolated Diophantine numbers. (English) Zbl 07920603
Nineteen fifty-four: Kolmogorov’s new “metrical approach” to Hamiltonian dynamics. (English) Zbl 07920602
Kam tori for the system of coupled quantum harmonic oscillators with reversible perturbations. (English) Zbl 07920484
Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus. (Non-ergodicité sur les variétés de caractères pour SU(2) et SU(3) d’un tore épointé.) (English. French summary) Zbl 07914811
Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations. (English) Zbl 07906066
On double homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. (English) Zbl 07896485
Persistence of the non-twist degenerate lower dimensional invariant torus in reversible systems. (English) Zbl 07896481
Quasi-periodic response solution to scalar state-dependent delay differential equation with degenerate equilibrium. (English) Zbl 07896480
Magnetoelectric fractals, magnetoelectric parametric resonance and Hopf bifurcation. (English) Zbl 07893186
Response solutions for elliptic-hyperbolic equations with nonlinearities and periodic external forces. (English) Zbl 07892748
Geodesics with unbounded speed on fluctuating surfaces. (English) Zbl 07888869
Reviewer: William J. Satzer Jr. (St. Paul)
Existence and linear stability of symmetric periodic orbits in the generalized planar Stark-Zeeman problem. (English) Zbl 07881042
Reducibility of the linear quantum harmonic oscillators under quasi-periodic reversible perturbation. (English) Zbl 07881039
The monotonicity of the ratio of two line integrals in piecewise smooth differential systems. (English) Zbl 07878128
On the negative limit of viscosity solutions for discounted Hamilton-Jacobi equations. (English) Zbl 07876080
A KAM theorem for the time quasi-periodic reversible perturbations of linear wave equations beyond Brjuno conditions. (English) Zbl 07876070
Stable motions of high energy particles interacting via a repelling potential. (English) Zbl 07873574
A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori. (English) Zbl 07873282
On particular integrability in classical mechanics. (English) Zbl 07871153
Reviewer: William J. Satzer Jr. (St. Paul)
A nonlinear semigroup approach to Hamilton-Jacobi equations-revisited. (English) Zbl 07869057
Reviewer: William J. Satzer Jr. (St. Paul)
Bifurcation theory of limit cycles by higher order Melnikov functions and applications. (English) Zbl 07869051
Periodic solution for perturbed Hamiltonian systems. (English) Zbl 07868210
Reviewer: William J. Satzer Jr. (St. Paul)
A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems. (English) Zbl 07864731
Classification of the two-component Benjamin-Ono systems. (English. Russian original) Zbl 1541.37077
Theor. Math. Phys. 219, No. 1, 638-662 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 124-150 (2024).
Hamiltonian theory of motion of dark solitons in the theory of nonlinear Schrödinger equation. (English. Russian original) Zbl 1541.37083
Theor. Math. Phys. 219, No. 1, 567-575 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 44-54 (2024).
Periodic perturbations of central force problems and an application to a restricted 3-body problem. (English. French summary) Zbl 07860061
Quasi-periodicity at transition from spiking to bursting in the Pernarowski model of pancreatic beta cells. (English) Zbl 07851473
Periodic orbit dividing surfaces in a quartic Hamiltonian system with three degrees of freedom. I. (English) Zbl 07848353
Stability of asymptotically Hamiltonian systems with damped oscillatory and stochastic perturbations. (English) Zbl 1542.34047
Invariant tori of rectilinear type in the spatial three-body problem. (English) Zbl 07845259
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Solving the cohomological equation for locally Hamiltonian flows. I: Local obstructions. (English) Zbl 07842513
Reviewer: Zdzisław Dzedzej (Gdańsk)
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits. (English) Zbl 07842140
Revisiting the Toda-Brumer-Duff criterion for order-chaos transition in dynamical systems. (English) Zbl 07842127
Orbits and chaos of a two-fluid magnetized plasma oscillator subjected to parametric excitation with square delayed feedback. (English) Zbl 1542.34069
Non-stationary normal forms for contracting extensions. (English) Zbl 07837925
Damjanović, Danijela (ed.) et al., A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. Cambridge: Cambridge University Press. 207-231 (2024).
Asymptotic motions converging to arbitrary dynamics for time-dependent Hamiltonians. (English) Zbl 1541.37066
Long time stability result for \(d\)-dimensional nonlinear Schrödinger equation. (English) Zbl 1541.37084
A category of Banach space functors. (English) Zbl 1540.18010
Reviewer: Hirokazu Nishimura (Tsukuba)
Quasi-periodic traveling waves on an infinitely deep perfect fluid under gravity. (English) Zbl 07830350
Memoirs of the American Mathematical Society 1471. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6877-4/pbk; 978-1-4704-7771-4/ebook). v, 158 p. (2024).
The number of limit cycles of a kind of piecewise quadratic systems with switching curve \(y = x^m\). (English) Zbl 1541.34055
Reviewer: Maite Grau (Lleida)
On the number of limit cycles bifurcating from the linear center with a cubic switching curve. (English) Zbl 07828229
Reviewer: Zhouchao Wei (Wuhan)
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions. (English) Zbl 1537.34039
Reviewer: Yanqiong Lu (Lanzhou)
\((\mathbb{R}^3 \times SO(3) \times \mathbb{T}^6)\)-reduction, relative equilibria, and bifurcations for the full averaged model of two interacting rigid bodies. (English) Zbl 1539.70008
The existence of almost periodic response solutions for superlinear Duffing’s equations. (English) Zbl 1539.70027
Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system. (English) Zbl 07818465
Reviewer: Jihua Yang (Guyuan)
Reducibility in a certain matrix Lie algebra for smooth linear quasi-periodic system. (English) Zbl 07815921
A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori. (English) Zbl 1540.37087
Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. (English) Zbl 1541.37064
Quasi-periodic solutions of \(n\) coupled Schrödinger equations with Liouvillean basic frequencies. (English) Zbl 1533.37128
Anosov-Katok constructions for quasi-periodic \(\operatorname{SL}(2, \mathbb{R})\) cocycles. (English) Zbl 07812096
The effect of loss/gain and Hamiltonian perturbations of the Ablowitz-Ladik lattice on the recurrence of periodic anomalous waves. (English) Zbl 1537.37094
Subharmonic bouncing solutions for a class of sublinear impact oscillators with indefinite weight. (English) Zbl 1541.34058
Reviewer: Kwok-wai Chung (Hong Kong)
Revisiting the Kepler problem with linear drag using the blowup method and normal form theory. (English) Zbl 1539.37098
Investigation of the nonlinear stability of a pendulum with variable length in elliptic orbit. (English) Zbl 1542.70017
Reviewer: Lennard Bakker (Provo)
Linearly stable KAM tori for one dimensional forced Kirchhoff equations with refined Töplitz-Lipschitz property. (English) Zbl 1533.35329
New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows. (English) Zbl 1539.37067
Reviewer: William J. Satzer Jr. (St. Paul)
On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians. (English) Zbl 07801706
Reducibility of the dispersive Camassa-Holm equation with unbounded perturbations. (English) Zbl 1532.35410
Global properties of generic real-analytic nearly-integrable Hamiltonian systems. (English) Zbl 1537.37073
Reviewer: William J. Satzer Jr. (St. Paul)
Flow map parameterization methods for invariant tori in quasi-periodic Hamiltonian systems. (English) Zbl 1535.37074
Computer-assisted proofs of existence of KAM tori in planetary dynamical models of \(\upsilon\)-And \(\mathbf{b}\). (English) Zbl 1532.70022
Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion. (English) Zbl 07793152
Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation. (English) Zbl 1535.37076
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