Summary
Deterministic 1D chaos, that is chaos in mapsx′=F(x),x∈R, can represent exactly the chaotic dynamics of 1D linear oscillators subject to periodic, non-linear delayed impulses, for suitable tuning between the impulse period and the free-oscillation period.
Similar content being viewed by others
References
M. J. Feigenbaum:J. Stat. Phys.,19, 25 (1978).
M. J. Feigenbaum:Los Alamos Sciences,1, 4 (1980).
P. Collet andJ. P. Eckman:Iterated Maps on the Interval as Dynamical Systems (Birkhauser, Boston, Mass., 1980).
I. Gumowski andC. Mira:Dynamique Chaotique (Cepadues, Toulouse, 1980).
C. Mira:Chaotic Dynamics (World Scientific, Singapore, 1987).
L. R. Devaney:An Introduction to Chaotic Dynamical Systems (Addison-Wesley, Reading, Mass., 1989).
L. Gardini:Theory Methods and Applications,23, 1039 (1994).
Author information
Authors and Affiliations
Additional information
The author of this paper has agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Lupini, R. Impulsed oscillator and chaotic dynamics. Nuov Cim B 109, 1247–1257 (1994). https://doi.org/10.1007/BF02722836
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02722836