Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity

DOI10.1016/j.physleta.2009.09.073zbMath1234.70005OpenAlexW2001501082MaRDI QIDQ407989

Soma De, Akhil Ranjan Roy, Soumitro Banerjee, Partha Sharathi Dutta

Publication date: 28 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.09.073

zbMATH Keywords

homoclinic bifurcationheteroclinic bifurcationborder collision bifurcationpiecewise-smooth mapsquare-root nonlinearity

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$

Cites Work

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