An equation for continuous chaos
OE Rössler - Physics Letters A, 1976 - Elsevier
… unlimited number of artificial chaotic sys(under the suggestive title “period 3 implies chaos”)
… To conlude, continuous chaos is “stangely attracCloser inspection of fig. 2 reveals, however, …
… To conlude, continuous chaos is “stangely attracCloser inspection of fig. 2 reveals, however, …
Continuous chaos
OE Rössler - Synergetics: A Workshop Proceedings of the …, 1977 - Springer
… examples, differential equations realizing typical 4-variable chaos have yet to be found.
There exist, however, simple equations illustrating the above three-variable types of chaos. Fig.…
There exist, however, simple equations illustrating the above three-variable types of chaos. Fig.…
Chaotic behavior in piecewise continuous difference equations
JP Keener - Transactions of the American Mathematical Society, 1980 - ams.org
… According to the title of this paper, we intend to study the chaotic behavior of the mapping
F. Exactly what is meant by chaos is in itself a confusing question. One definition of chaos, …
F. Exactly what is meant by chaos is in itself a confusing question. One definition of chaos, …
Classical chaos
RV Jensen - American Scientist, 1987 - JSTOR
… , the question of chaos in quantum physics remains controversial. At present, "quantum chaos"
is … Both an unambiguous definition as well as the very existence of quantum chaos remain …
is … Both an unambiguous definition as well as the very existence of quantum chaos remain …
[PDF][PDF] A new approach to Chaos
R Brown, V Jain - … of Continuous, Discrete and Impulsive Systems …, 2009 - researchgate.net
… We begin with a look at the source of morphology from chaotic equations with discrete
forcing or discrete transitions since they provide the easiest method of obtaining insights. …
forcing or discrete transitions since they provide the easiest method of obtaining insights. …
[PDF][PDF] An exactly solvable chaotic differential equation
NJ Corron - Dyn. Contin. Discrete Impuls. Syst. A, 2009 - researchgate.net
… First, we show that a low-dimensional chaotic set of continuous-time waveforms … chaotic
linear system; rather, it yields a family of linear systems with solutions that together form a chaotic …
linear system; rather, it yields a family of linear systems with solutions that together form a chaotic …
On the definition of'chaos'
AY Kolesov, NK Rozov - Russian Mathematical Surveys, 2009 - iopscience.iop.org
… can exist a new type of chaos, not reducible to chaos in the sense of Devaney or Knudsen. …
of chaos turbulent chaos. To give a better idea of the main properties of turbulent chaos we …
of chaos turbulent chaos. To give a better idea of the main properties of turbulent chaos we …
Different types of chaos in two simple differential equations
OE Rössler - Zeitschrift für Naturforschung A, 1976 - degruyter.com
… In the second equation, a transition between two different types of horseshoe chaos (spiral
chaos and screw chaos) is possible. While sandwich chaos allows for a genuine strange …
chaos and screw chaos) is possible. While sandwich chaos allows for a genuine strange …
Routes to chaos in continuous mechanical systems. Part 1: Mathematical models and solution methods
J Awrejcewicz, VA Krysko, IV Papkova… - Chaos, Solitons & …, 2012 - Elsevier
… In this work chaotic dynamics of continuous mechanical systems such as flexible plates and
shallow … New scenarios of transition from regular to chaotic orbits are detected, analyzed and …
shallow … New scenarios of transition from regular to chaotic orbits are detected, analyzed and …
Continuous-time models of chaos in economics
A Medio - Journal of Economic Behavior & Organization, 1991 - Elsevier
… of chaos theory to the study of continuous-time economic dynamic models, ie, models represented
by systems of ordinary differential equations… in Part I of the paper, is a continuous-time …
by systems of ordinary differential equations… in Part I of the paper, is a continuous-time …