DERIVING CHAOTIC DYNAMICAL SYSTEMS FROM ENERGY FUNCTIONALS
2001 ◽
Vol 01
(03)
◽
pp. 377-388
◽
Keyword(s):
Simple one-dimensional chaotic dynamical systems are derived by optimizing energy functionals. The Euler–Lagrange equation yields a nonlinear second-order differential equation whose solution yields a 2–1 map which admits an absolutely continuous invariant measure. The solutions of the differential equation are studied.
1996 ◽
Vol 16
(4)
◽
pp. 735-749
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2011 ◽
Vol 32
(2)
◽
pp. 739-761
◽
2008 ◽
Vol 28
(4)
◽
pp. 1117-1133
◽
2016 ◽
Vol 13
(04)
◽
pp. 1650045
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2015 ◽
Vol 36
(6)
◽
pp. 1865-1891
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1992 ◽
Vol 12
(1)
◽
pp. 13-37
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2012 ◽
Vol 396
(1)
◽
pp. 1-6
1993 ◽
Vol 03
(04)
◽
pp. 1045-1049