Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity
DOI10.1142/S0218127420500315zbMath1445.34055OpenAlexW3011564769MaRDI QIDQ5222631
Publication date: 6 April 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420500315
chaotic dynamicsPoincaré mapsubharmonic solutionstopological horseshoessignum functionnonautonomous Duffing equation
Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps
- On the chaotic behaviour of discontinuous systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Chaos in the Duffing equation
- On the application of KAM theory to discontinuous dynamical systems
- New global bifurcation diagrams for piecewise smooth systems: transversality of homoclinic points does not imply chaos
- Chaotic dynamics in a periodically perturbed Liénard system.
- Functions with average and bounded motions of a forced discontinuous oscillator
- Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimen\-sional cells
- Homoclinic trajectories and chaotic behaviour in a piecewise linear oscillator
- Topological horseshoes
- Chaotic Dynamics in Nonlinear Theory
- On the Definition of Chaos
- PERIODICALLY FORCED CHAOTIC SYSTEM WITH SIGNUM NONLINEARITY
- Averaging and Chaotic Motions in Forced Oscillations
- BIFURCATION AND CHAOS IN THE SIMPLEST DISSIPATIVE NON-AUTONOMOUS CIRCUIT
- Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
- CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS
- Simplest driven conservative chaotic oscillator
This page was built for publication: Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity