×
Li, Liangliang; Huang, Yu; Chen, Goong; Huang, Tingwen

Chaotic oscillations of second order linear hyperbolic equations with nonlinear boundary conditions: a factorizable but noncommutative case. (English) Zbl 1327.35033

Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1530032, 20 p. (2015).

Cited in 4 Documents

MSC:

35B36 Pattern formations in context of PDEs
35L05 Wave equation
35A30 Geometric theory, characteristics, transformations in context of PDEs
35L20 Initial-boundary value problems for second-order hyperbolic equations
35L10 Second-order hyperbolic equations

Keywords:

chaotic oscillations; wave equation; method of characteristics

Citations:

Zbl 1300.35062
PDF BibTeX XML Cite
\textit{L. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1530032, 20 p. (2015; Zbl 1327.35033)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] DOI: 10.1007/BFb0084762 · Zbl 0746.58007
[2] DOI: 10.1090/S0002-9947-98-02022-4 · Zbl 0916.35065
[3] DOI: 10.1142/S0218127498000280 · Zbl 0938.35088
[4] DOI: 10.1142/S0218127498000292 · Zbl 0938.35089
[5] DOI: 10.1063/1.532670 · Zbl 0959.37027
[6] G. Chen, Control of Nonlinear Distributed Parameter System, Lecture Notes in Pure and Applied Mathematics Series 218, eds. G. Chen, I. Lascieka and J. Zhou (Marcel Dekker, NY, 2001) pp. 15–42.
[7] DOI: 10.1142/S0218127402004504 · Zbl 1044.37019
[8] DOI: 10.1007/b79666
[9] DOI: 10.1142/S0218127404010540 · Zbl 1077.37510
[10] Chen G., Synthesis Lectures on Mathematics and Statistics, in: Chaotic Maps: Dynamics, Fractals and Rapid Fluctuations (2011) · Zbl 1237.37001
[11] Chen G., Int. J. Bifurcation and Chaos 24 pp 1430021-1– (2014)
[12] Devaney R. L., An Introduction to Chaotic Dynamical Systems (1989) · Zbl 0695.58002
[13] DOI: 10.1090/gsm/019
[14] DOI: 10.1142/S0218127409023202 · Zbl 1170.35469
[15] DOI: 10.1016/S0022-247X(03)00562-6 · Zbl 1043.35033
[16] DOI: 10.1142/S0218127403007138 · Zbl 1062.35035
[17] DOI: 10.1142/S021812740401031X · Zbl 1129.37320
[18] DOI: 10.1142/S0218127405012223 · Zbl 1076.35066
[19] DOI: 10.1063/1.3486070 · Zbl 1314.35070
[20] DOI: 10.1016/j.jmaa.2009.09.011 · Zbl 1183.35189
[21] Robinson C., Dynamical Systems, Stability, Symbolic Dynamics and Chaos (1995) · Zbl 0853.58001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.