Parametric Feedback Resonance in Chaotic Systems
نویسندگان
چکیده
منابع مشابه
Parametric feedback resonance in chaotic systems.
If one changes the control parameter of a chaotic system proportionally to the distance between an arbitrary point on the strange attractor and the actual trajectory, the lifetime t of the most stable unstable periodic orbit in the vicinity of this point starts to diverge with a power law. The volume in parameter space where t becomes infinite is finite and from its nonfractal boundaries one ca...
متن کاملGravity, Parametric Resonance and Chaotic Inflation
For nearly a decade it has been known that coherent processes at the end of inflation can drive explosive particle production [1] via parametric resonance, leading to an era of preheating in the post-inflationary universe. Earlier assumptions about the transfer of energy from the inflaton to “regular” matter have been overturned, and the phenomenology of the post-inflationary universe is thus m...
متن کاملCoherence resonance in chaotic systems
– We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose regularity is optimal for some intermediate value of the noise intensity. We find that the power spectrum of the signal develops a peak at finite frequency at in...
متن کاملParametric Perturbations and Non–feedback Controlling Chaotic Motion
In this paper we generalize analytic studies the problems related to suppression of chaos and non–feedback controlling chaotic motion. We develop an analytic method of the investigation of qualitative changes in chaotic dynamical systems under certain external periodic perturbations. It is proven that for polymodal maps one can stabilize chosen in advance periodic orbits. As an example, the qua...
متن کاملNon-parametric identification of chaotic systems
Non-linearity is a common feature shared by mechanical systems, whereas their linear behaviour is an exception. The irregular, chaotic behaviour finds out in many processes which are appeared in different natural and technical objects. The author has suggested applying the phase trajectory mappings for estimation of parameters of dissipative characteristics in the planes «acceleration– displace...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1996
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.76.400