Found 117 Documents (Results 1–100)
The growth rate inequality for Thurston maps with non-hyperbolic orbifolds. (English) Zbl 1542.37027
Reviewer: Bruno Zimmermann (Trieste)
Revisiting the Kepler problem with linear drag using the blowup method and normal form theory. (English) Zbl 1539.37098
Perturbations of nonhyperbolic algebraic automorphisms of the 2-torus. (English. Russian original) Zbl 1530.37042
Math. Notes 114, No. 2, 187-198 (2023); translation from Mat. Zametki 114, No. 2, 229-243 (2023).
Nonhyperbolic dynamics by mingling, blending, and flip-flopping. (English) Zbl 1533.37085
Reviewer: Hasan Akin (Şanlıurfa)
On perturbations of algebraic periodic automorphisms of a two-dimensional torus. (Russian. English summary) Zbl 1524.37042
On the stability of unconditionally positive and linear invariants preserving time integration schemes. (English) Zbl 1506.65098
Convergence for slow discrete dynamical systems with identity linearization. (English) Zbl 1506.37030
Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity). (English) Zbl 1521.37010
Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy. (English) Zbl 1509.34044
Reviewer: Alois Steindl (Wien)
Robust existence of nonhyperbolic ergodic measures with positive entropy and full support. (English) Zbl 1492.37040
Stability of nonhyperbolic singular point and bifurcation in a class of four dimensional polynomial systems. (Chinese. English summary) Zbl 1474.34381
On the unresolved cases of convergence of bidimensional slow discrete dynamical systems. (English) Zbl 1454.37023
Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes. (English) Zbl 1442.37035
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. (English) Zbl 1530.34058
Reviewer: Jian Peng (Xiangtan)
A novel 4D chaotic system with nonhyperbolic hyperbolic shape equilibrium points: analysis, circuit implementation and color image encryption. (English) Zbl 1433.37072
Dynamics, synchronization and electronic implementations of a new Lorenz-like chaotic system with nonhyperbolic equilibria. (English) Zbl 1443.34019
A new class of two-dimensional chaotic maps with closed curve fixed points. (English) Zbl 1419.39006
Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes. (English) Zbl 1422.37013
Reviewer: Martin Sambarino (Montevideo)
Five new 4-D autonomous conservative chaotic systems with various type of non-hyperbolic and lines of equilibria. (English) Zbl 1415.34080
Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with two zones. (Chinese. English summary) Zbl 1424.37028
Hyperchaos in a conservative system with nonhyperbolic fixed points. (English) Zbl 1407.37054
MSC:
37D45
Elliptic sectors and Euler discretization. (English) Zbl 1405.34025
Reviewer: Klaus R. Schneider (Berlin)
Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with finitely many zones. (English) Zbl 1380.37106
Global dynamics of rational difference equations \(x_{n + 1} = \left(x_n + x_{n - 1}\right) / \left(q + y_n y_{n - 1}\right)\) and \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\). (English) Zbl 1371.39015
Robust criterion for the existence of nonhyperbolic ergodic measures. (English) Zbl 1368.37036
Reviewer: Sophia L. Kalpazidou (Thessaloniki)
Partial hyperbolicity and specification. (English) Zbl 1358.37066
Reviewer: William J. Satzer jun. (St. Paul)
A \(C^{1}\) closing lemma for nonuniformly partially hyperbolic diffeomorphisms of class \(C^{1+\alpha}\). (English) Zbl 1357.37046
Inverted pendulum stabilization: characterization of codimension-three triple zero bifurcation via multiple delayed proportional gains. (English) Zbl 1327.93322
Bifurcations of two-dimensional global invariant manifolds near a noncentral saddle-node homoclinic orbit. (English) Zbl 1358.37089
Accurate output tracking for nonminimum phase nonhyperbolic and near nonhyperbolic systems. (English) Zbl 1403.93095
Degenerate Hopf bifurcation in a special 3D chaotic system. (Chinese. English summary) Zbl 1313.37048
Singular points and first integrals of holomorphic dynamical systems. (Russian. English summary) Zbl 1289.34256
MSC:
34M35
Bifurcations of a nongeneric heteroclinic loop with nonhyperbolic equilibria. (English) Zbl 1276.34033
Box dimension and bifurcations of one-dimensional discrete dynamical systems. (English) Zbl 1282.37019
Multiple attractors for a competitive system of rational difference equations in the plane. (English) Zbl 1252.39020
Discontinuity induced bifurcations of nonhyperbolic cycles in nonsmooth systems. (English) Zbl 1194.34069
Reviewer: Eugene Ershov (St. Petersburg)
Abundance of nonhyperbolic strange attractors in families of multi-modal maps. (Chinese. English summary) Zbl 1212.37083
Global dynamics of a competitive system of rational difference equations in the plane. (English) Zbl 1187.39024
On the global behavior of solutions to a planar system of difference equations. (English) Zbl 1176.39014
Reviewer: Vladimir Răsvan (Craiova)
On global attractors for a class of nonhyperbolic piecewise affine maps. (English) Zbl 1153.37336
MSC:
37C70
Hyperbolic sets exhibiting \(C^1\)-persistent homoclinic tangency for higher dimensions. (English) Zbl 1131.37028
Proc. Am. Math. Soc. 136, No. 2, 677-686 (2008); erratum ibid. 138, No. 4, 1533-1533 (2010).
Reviewer: Yuri V. Rogovchenko (Kalmar)
Quotients of \(\ell^\infty(\mathbb Z,\mathbb Z)\) and symbolic covers of toral automorphisms. (English) Zbl 1109.37011
Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 223-246 (2006).
MSC:
37B10
37A45
The Lempel-Ziv complexity of non-stationary chaos in infinite ergodic cases. (English) Zbl 1110.37004
Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies. (English) Zbl 1106.37021
Reviewer: Messoud A. Efendiev (Berlin)
Bifurcation of connecting orbits with one nonhyperbolic fixed point for maps. (English) Zbl 1090.37014
Bifurcations of noncritical but nonhyperbolic invariant tori. (Chinese. English summary) Zbl 1093.34529
Fractal dimensions for repellers of maps with holes. (English) Zbl 1084.37021
Reviewer: Piotr Garbaczewski (Zielona Góra)
Orbit counting with an isometric direction. (English) Zbl 1115.37015
Kolyada, S. (ed.) et al., Algebraic and topological dynamics. Proceedings of the conference, Bonn, Germany, May 1–July 31, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3751-6/pbk). Contemp. Math. 385, 293-302 (2005).
Reviewer: Andrzej Pelczar (Kraków)
Non-Gibbsianness of SRB measures for the natural extension of intermittent systems. (English) Zbl 1098.37022
A remark on heteroclinic bifurcations near steady state/pitchfork bifurcations. (English) Zbl 1090.37553
Statistical properties of dynamical chaos. (English) Zbl 1068.37020
MSC:
37D45
Viscous singular shock structure for a nonhyperbolic two-fluid model. (English) Zbl 1077.35091
Reviewer: V. D. Sharma (Mumbai)
Fractality of deterministic diffusion in the nonhyperbolic climbing sine map. (English) Zbl 1098.82600
Bifurcation of homoclinic orbits to a saddle-center in reversible systems. (English) Zbl 1052.37043
Reviewer: Ale Jan Homburg (Amsterdam)
Robustly transitive sets and heterodimensional cycles. (English) Zbl 1056.37024
de Melo, Welington (ed.) et al., Geometric methods in dynamics (I). Volume in honor of Jacob Palis. In part papers presented at the international conference on dynamical systems held at IMPA, Rio de Janeiro, Brazil, July 2000, to celebrate Jacob Palis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-138-4/pbk). Astérisque 286, 187-222 (2003).
Reviewer: Dieter Erle (Dortmund)
A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources. (English) Zbl 1049.37011
Reviewer: Ale Jan Homburg (Amsterdam)
Large life span of the solutions to a nonlinear Cauchy problem. (Large temps de vie des solutions d’un problème de Cauchy non linéaire.) (French) Zbl 1036.35056
de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 65-74 (2003).
Reviewer: Masakazu Muro (Gifu)
MSC:
35G25
35A05
Generic robustness of spectral decompositions. (English. French summary) Zbl 1027.37010
Reviewer: Alois Klíč (Praha)
Elementary bifurcations of non-critical but non-hyperbolic invariant tori. (English) Zbl 1047.34046
Reviewer: Francisco Balibrea (Murcia)
The flow of a DAE near a singular equilibrium. (English) Zbl 1022.34001
Reviewer: Werner M.Seiler (Mannheim)
On unstable manifolds in a neighborhood of an essentially nonhyperbolic point. (English. Russian original) Zbl 1041.37012
Dokl. Math. 63, No. 2, 260-262 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 6, 743-745 (2001).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Sub-harmonical resonant bifurcations and stability of a nonlinear system at critical points \(\mu^2+4\sigma^2-1=0\). (Chinese. English summary) Zbl 1014.34029
Structural stability under conditions of nonhyperbolicity. (English) Zbl 0986.37039
Reviewer: Ale Jan Homburg (Amsterdam)
MSC:
37G15
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. (English) Zbl 1003.37033
Reviewer: Messoud Efendiev (Berlin)
Statistical properties for nonhyperbolic maps with finite range structure. (English) Zbl 0981.11028
Reviewer: Thomas Ward (Norwich)
Thermodynamic formalism for certain nonhyperbolic maps. (English) Zbl 0971.37004
Reviewer: Azad Tagizade (Baku)
On the Liénard system with a non-hyperbolic equilibrium point. (English) Zbl 0938.34018
Reviewer: Ye Yanqian (Nanjing)
Hopf bifurcations and homoclinic tangencies. (English) Zbl 0954.37025
Reviewer: Ale Jan Homburg (Amsterdam)
Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\). (English) Zbl 0915.58032
MSC:
37J99
Commensurability and virtual fibration for graph manifolds. (English) Zbl 0872.57021
Reviewer: He Baihe (Changchun)
MSC:
57N10
Homoclinic tangencies and non-normal Jacobians-effects of noise in nonhyperbolic chaotic systems. (English) Zbl 0933.37021
Chaos in systems beyond hyperbolicity. (English) Zbl 0921.58040
Proc. Steklov Inst. Math. 216, 360-365 (1997) and Tr. Mat. Inst. Steklova 216, 364-369 (1997).
Reviewer: B.V.Loginov (Ul’yanovsk)
On the convergence to equilibrium states for certain non-hyperbolic systems. (English) Zbl 0887.58033
Reviewer: A.Papadopoulos (Strasbourg)
MSC:
37A99
Hénon attractors: SBR measures and Dirac measures for sinks. (English) Zbl 0871.58060
Ledrappier, François (ed.) et al., 1st international conference on dynamical systems, Montevideo, Uruguay, 1995 - a tribute to Ricardo Mañé. Proceedings. Harlow: Longman. Pitman Res. Notes Math. Ser. 362, 214-219 (1996).
Reviewer: A.Kachurovskij (Novosibirsk)
Persistent nonhyperbolic transitive diffeomorphisms. (English) Zbl 0852.58066
Reviewer: R.Schimming (Greifswald)
MSC:
37D99
Generalized Melnikov formulas in arbitrary dimension. (English) Zbl 0844.34042
Deng, Zhongqi (ed.) et al., Differential equations and control theory. Proceedings of the international conference, Wuhan, People’s Republic of China, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 176, 315-321 (1996).
Reviewer: I.Grosu (Iaşi)
MSC:
34C37
Analysis of Takens-Bogdanov bifurcation by characteristic functions. (English) Zbl 0843.34046
Reviewer: Li Jibin (Kunming)
Asymptotic expansions of solutions of strongly nonlinear systems of differential equations. (Асимптотики решений сильно нелинейных систем дифференциальных уравнений.) (Russian) Zbl 0949.34003
Moskva: Izdatel’stvo Moskovskogo Universiteta. 244 p. (1996).
Reviewer: S. A. Dovbysh (MR 99b:34084)
Bifurcation of periodic orbits in three dimensional systems. (Chinese. English summary) Zbl 0859.34025
Reviewer: Wang Cun-Zheng (Chengdu)
MSC:
34C23
Numerical analysis of subspace-breaking Takens-Bogdanov points. (English) Zbl 0826.65065
Reviewer: B.Werner (Hamburg)
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