Modifying fractal basin boundaries by reshaping periodic terms

DOI10.1063/1.1481546zbMath1060.37024OpenAlexW1974936834MaRDI QIDQ4832678

A. Martínez García-Hoz, Ricardo Chacón

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1481546

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (1)

Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator

Cites Work

• Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurcations
• Fractal basin boundaries
• The Lyapunov dimension of a nowhere differentiable attracting torus
• Chaotic phenomena triggering the escape from a potential well

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