ALGORITHMS FOR OBTAINING A SADDLE TORUS BETWEEN TWO ATTRACTORS

DOI10.1142/S0218127413300322zbMath1277.65109MaRDI QIDQ2866047

Tetsuro Endo, Motomasa Komuro, Kyohei Kamiyama

Publication date: 13 December 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

basin boundarybisection algorithmoverall template methodpartial template methodsaddle torus

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Invariant manifolds for ordinary differential equations (34C45) Numerical problems in dynamical systems (65P99) Multifrequency systems of ordinary differential equations (34C46)

Related Items (9)

Darrieus-Magnus type wind turbine: dynamics and control ⋮ Numerical and experimental observation of Arnol'd resonance webs in an electrical circuit ⋮ Delayed feedback control and phase reduction of unstable quasi-periodic orbits ⋮ Complicated quasiperiodic oscillations and chaos from driven piecewise-constant circuit: Chenciner bubbles do not necessarily occur via simple phase-locking ⋮ Method for forming autorotations in controllable mechanical system with two degrees of freedom ⋮ Method for generating asynchronous self-sustained oscillations of a mechanical system with two degrees of freedom ⋮ Classification of Bifurcations of Quasi-Periodic Solutions Using Lyapunov Bundles ⋮ Stabilization Control of Quasi-periodic Orbits ⋮ Bifurcation boundaries of three-frequency quasi-periodic oscillations in discrete-time dynamical system

Cites Work

• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• SUPERCRITICAL PITCHFORK BIFURCATION OF THE QUASI-PERIODIC SWITCHING SOLUTION IN A RING OF SIX-COUPLED, BISTABLE OSCILLATORS
• BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS — BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION

This page was built for publication: ALGORITHMS FOR OBTAINING A SADDLE TORUS BETWEEN TWO ATTRACTORS