The spectrum of the period-doubling operator in terms of cycles

F. Christiansen, Predrag Cvitanović, Hans Henrik Rugh

Type: Article

Publication Date: 1990-07-21

Citations: 39

DOI: https://doi.org/10.1088/0305-4470/23/14/005

View Publication

Locations

Journal of Physics A Mathematical and General - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Period-doubling bifurcations and islets of stability in two-degree-of-freedom Hamiltonian systems	2023	Alexandre R. Nieto Jesús M. Seoane Miguel A. F. Sanjuán
+	The Dimension of Chaotic Attractors	1983	J. Doyne Farmer Edward Ott James A. Yorke
+	Fractal dimension of quasi-periodic orbits	2001	Pengjian Shang Karl Widder
+	Growth of periodic orbits of dynamical systems	1991	R. G. Érnesto
+	Periodic orbits of a dynamical system	1970	Philip Francis Lee
+	Counting the Number of Periodic Orbits	2018
+ PDF Chat	Bounds on the unstable eigenvalue for period doubling	1990	Jean-Pierre Eckmann Henri Epstein
+ PDF Chat	Computing periodic orbits using the anti-integrable limit	1998	David Sterling James D. Meiss
+ PDF Chat	Complexity in Linear Systems: A Chaotic Linear Operator on the Space of Odd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn fontstyle="italic">2</mml:mn><mml:mi>π</mml:mi></mml:math>-Periodic Functions	2017	Tamás Kalmár‐Nagy Márton Kiss
+	Computational analysis of bifurcations of periodic orbits	2013	Virginie De Witte
+	Detecting unstable periodic orbits embedded in chaotic systems using the simplex method	2008	Chyun‐Chau Fuh
+ PDF Chat	Harmonic Analysis in Discrete Dynamical Systems	2012	G. Pastor M. Romera A. B. Orue A. Martín Marius‐F. Danca F. Montoya
+	Chaotic attractors of an infinite-dimensional dynamical system	1982	J. Doyne Farmer
+	Period-doubling bifurcations and islets of stability in two-degree-of-freedom Hamiltonian systems	2023	Alexandre R. Nieto Jesús M. Seoane Miguel A. F. Sanjuán
+	The number of attractors in dynamical systems associated with cycles	2014	А. В. Жаркова
+	Chaotic systems: counting the number of periods	1993	Bailin Hao Fa-geng Xie
+	Complex dynamics in a two-dimensional noninvertible map	2007	Yinghui Gao
+	Trajectory Integration of Quasi-Periodic Oscillations	2004	鄭正德
+	Chaotic Dynamics in Two-Dimensional Noninvertible Maps	1996	Christian Mira Laura Gardini Alexandra Barugola J Cathala
+	A CHARACTERIZATION OF CHAOS THROUGH PERIODIC POINTS	1990	Gemunu H. Gunaratne

Works That Cite This (31)

Action	Title	Year	Authors
+ PDF Chat	Explicit A Priori Bounds on Transfer Operator Eigenvalues	2007	Oscar F. Bandtlow Oliver Jenkinson
+	Rigorous bounds on the Hausdorff dimension of Feigenbaum attractors	2021	Andrew Burbanks A. H. Osbaldestin Judi A Thurlby
+	None	2002	С. П. Кузнецов A. H. Osbaldestin
+	Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions	2008	Oscar F. Bandtlow Oliver Jenkinson
+	Renormalization and Geometry in One-dimensional and Complex Dynamics	1996	YP Jiang
+ PDF Chat	A numerical study of infinitely renormalizable area-preserving maps	2012	Denis Gaidashev Tomas Johnson
+	Explicit eigenvalue estimates for transfer operators	2008	Oscar F. Bandtlow Oliver Jenkinson
+	Statistical properties of chaos demonstrated in a class of one-dimensional maps	1993	András Csordás G. Györgyi P. Szépfalusy Tamás Tél
+ PDF Chat	Beyond the periodic orbit theory	1998	Predrag Cvitanović K.P. Hansen Juri Rolf Gábor Vattay
+	Dynamical Zeta Functions	1995	Viviane Baladi

Works Cited by This (7)

Action	Title	Year	Authors
+	Recycling of strange sets: II. Applications	1990	Roberto Artuso Erik Aurell Predrag Cvitanović
+	Recycling of strange sets: I. Cycle expansions	1990	Roberto Artuso Erik Aurell Predrag Cvitanović
+	On the Hausdorff dimension of fractal attractors	1981	Peter Grassberger
+	On the symbolic dynamics of the Henon map	1989	Peter Grassberger Hölger Kantz U Moenig
+	Zeta-functions for expanding maps and Anosov flows	1976	David Ruelle
+	Universal f(α) spectrum as an eigenvalue	1989	Zoltán Kovács
+	The universal metric properties of nonlinear transformations	1979	Mitchell J. Feigenbaum