Found 36 Documents (Results 1–36)
On complex dynamics of Cournot-Bertrand game with asymmetric market information. (English) Zbl 1508.91327
Milnor and topological attractors in a family of two-dimensional Lotka-Volterra maps. (English) Zbl 1456.37049
Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps. (English) Zbl 1453.37040
Bohner, Martin (ed.) et al., Difference equations and discrete dynamical systems with applications. ICDEA 24, Dresden, Germany, May 21–25, 2018. Proceedings of the 24th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 312, 21-54 (2020).
Reviewer: Tao Chen (New York)
Coupled chaotic fluctuations in a model of international trade and innovation: some preliminary results. (English) Zbl 1510.91099
Bubbling, riddling, blowout and critical curves. (English) Zbl 1375.37141
Reviewer: Eszter Gselmann (Debrecen)
Complex dynamics in a simple two-dimensional discrete system. (English) Zbl 1319.39003
Li, Changpin (ed.) et al., Recent advances in applied nonlinear dynamics with numerical analysis. Fractional dynamics, network dynamics, classical dynamics and fractal dynamics with their numerical simulations. Festschrift dedicated to Zhong-hua Yang on the occasion of his 70th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4436-45-8/hbk; 978-981-4436-47-2/ebook). Interdisciplinary Mathematical Sciences 15, 325-337 (2013).
Interacting global invariant sets in a planar map model of wild chaos. (English) Zbl 1304.37023
Reviewer: Yuriy V. Rogovchenko (Kristiansand)
From the box-within-a-box bifurcation structure to the Julia set. II: Bifurcation routes to different Julia sets from an indirect embedding of a quadratic complex map. (English) Zbl 1182.37032
From the box-within-a-box bifurcation organization to the Julia set. I: Revisited properties of the sets generated by a quadratic complex map with a real parameter. (English) Zbl 1170.37323
MSC:
37F45
37F50
Toward the calculation of higher-dimensional stable manifolds and stable sets for noninvertible and piecewise-smooth maps. (English) Zbl 1167.37039
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Fractal sets from noninvertible maps. (English) Zbl 1162.28303
Novak, Miroslav M., Complexus mundi. Emergent patterns in nature. Hackensack, NJ: World Scientific (ISBN 981-256-666-X/hbk). 83-102 (2006).
Reviewer: Nicolae-Adrian Secelean (Sibiu)
Bifurcations of stable sets in noninvertible planar maps. (English) Zbl 1085.37036
Reviewer: Eugene Ershov (St. Petersburg)
Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. (English) Zbl 1059.37067
On the embedding of a \((p-1)\)-dimensional noninvertible map into a \(p\)-dimensional invertible map \((p=2,3)\). (English) Zbl 1056.37021
On the fractal structure of basin boundaries in two-dimensional noninvertible maps. (English) Zbl 1056.37058
A route to computational chaos revisited: Noninvertibility and the breakup of an invariant circle. (English) Zbl 1011.37017
Some methods for the global analysis of dynamic games represented by iterated noninvertible maps. (English) Zbl 1072.91013
Puu, Tönu (ed.) et al., Oligopoly dynamics. Models and tools. Proceedings of the conference, UmeåUniv., Sweden, June 17–18, 2001. Berlin: Springer (ISBN 3-540-43186-1/hbk). 31-83 (2002).
Reviewer: Tadeusz Radzik (Jelenia Góra)
Piecewise isometries have zero topological entropy. (English) Zbl 0993.37012
Reviewer: Peter Raith (Wien)
Noninvertible minimal maps. (English) Zbl 1031.37014
Reviewer: Peter Raith (Wien)
Evaluation of the Jacobian of a rational transformation of \(\mathbb{C}^2\) and some applications. (English. Russian original) Zbl 0968.14036
Math. Notes 66, No. 2, 245-249 (1999); translation from Mat. Zametki 66, No. 2, 308-312 (1999).
On the basin boundary of a quadratic degenerated two-dimensional endomorphism. (English) Zbl 0960.37018
Reviewer: Messoud Efendiev (Berlin)
Dynamics of a piecewise rotation. (English) Zbl 0965.37037
Reviewer: Messoud Efendiev (Berlin)
An algorithm for the computation of preimages in noninvertible mappings. (English) Zbl 0982.37036
Reviewer: Messoud Efendiev (Berlin)
Homoclinic bifurcations of endomorphisms: The codimension one case. (English) Zbl 0948.37039
Reviewer: C.Mira (Quint)
Hausdorff dimension of basic sets for non-invertible maps. (English) Zbl 0915.58071
Reviewer: M.A.Efendiev (Berlin)
MSC:
37D99
Chaos in discrete dynamical systems: a visual introduction in 2 dimensions. Companion CD-ROM by Ronald J. Record and Ralph H. Abraham. (English) Zbl 0883.58019
New York, NY: Springer/Telos. xxv, 246 p. (1997).
Reviewer: E.Ershov (St.Peterburg)
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