Birth of strange nonchaotic attractors in a piecewise linear oscillator.
Chaos
; 32(10): 103106, 2022 Oct.
Article
en En
| MEDLINE
| ID: mdl-36319293
ABSTRACT
Nonsmooth systems are widely encountered in engineering fields. They have abundant dynamical phenomena, including some results on the complex dynamics in such systems under quasiperiodically forced excitations. In this work, we consider a quasiperiodically forced piecewise linear oscillator and show that strange nonchaotic attractors (SNAs) do exist in such nonsmooth systems. The generation and evolution mechanisms of SNAs are discussed. The torus-doubling, fractal, bubbling, and intermittency routes to SNAs are identified. The strange properties of SNAs are characterized with the aid of the phase sensitivity function, singular continuous spectrum, rational frequency approximation, and the path of the partial Fourier sum of state variables in a complex plane. The nonchaotic properties of SNAs are verified by the methods of maximum Lyapunov exponent and power spectrum.
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Dinámicas no Lineales
/
Fractales
Tipo de estudio:
Prognostic_studies
Idioma:
En
Revista:
Chaos
Asunto de la revista:
CIENCIA
Año:
2022
Tipo del documento:
Article
País de afiliación:
China