Transition dynamics and adaptive synchronization of time-delay interconnected corticothalamic systems via nonlinear control

被引：20
作者：
Fan, Denggui [1 ,2 ]
Zhang, Liyuan [3 ]
Wang, Qingyun [3 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Beijing Key Lab Knowledge Engn Mat Sci, Beijing, Peoples R China
[3] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 94卷 / 04期
基金：
中国博士后科学基金; 国家重点研发计划; 中国国家自然科学基金;
关键词：
Corticothalamic model; Time delay; Transition dynamics; Adaptive synchronization; Nonlinear control; SPIKE-WAVE DISCHARGES; HINDMARSH-ROSE NEURONS; ABSENCE SEIZURES; SLEEP SPINDLES; NETWORK MODEL; OSCILLATIONS; EPILEPSY;
D O I：
10.1007/s11071-018-4526-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A modified corticothalamic (MCT) system with multiple delays for epileptic absence seizures is taken as a study object. Synchronization transition dynamics of two time-delay interconnected MCT systems via nonlinear control is investigated in this paper. Both the intrinsic delays in a single MCT system and the coupling delays between two MCT systems are considered. When there is no control, it is found that the occurrences of synchronization are dependent on the specific deviations of intrinsic delays and also correlated with the rhythmic periods of oscillations for the two MCT subsystems. To obtain the synchronous state transitions irrespective of the intrinsic delays, based on the Lyapunov stability theory, we propose a nonlinear adaptive control schemes with respect to the coupling delays. The numerical simulation results show the effectiveness of the designed control method.
引用
收藏
页码：2807 / 2825
页数：19
相关论文
共 45 条
  • [21] Intermittent spike-wave dynamics in a heterogeneous, spatially extended neural mass model
    Goodfellow, Marc
    Schindler, Kaspar
    Baier, Gerold
    [J]. NEUROIMAGE, 2011, 55 (03) : 920 - 932
  • [22] Chaotic synchronization of time-delay coupled Hindmarsh-Rose neurons via nonlinear control
    Hettiarachchi, Imali T.
    Lakshmanan, S.
    Bhatti, Asim
    Lim, C. P.
    Prakash, M.
    Balasubramaniam, P.
    Nahavandi, Saeid
    [J]. NONLINEAR DYNAMICS, 2016, 86 (02) : 1249 - 1262
  • [23] Robust adaptive hierarchical insensitive tracking control of a class of leader-follower agents
    Jin, Xiao-Zheng
    Wang, Shao-Fan
    Yang, Guang-Hong
    Ye, Dan
    [J]. INFORMATION SCIENCES, 2017, 406 : 234 - 247
  • [24] Adaptive Fault-Tolerant Consensus for a Class of Uncertain Nonlinear Second-Order Multi-Agent Systems With Circuit Implementation
    Jin, Xiaozheng
    Wang, Shaofan
    Qin, Jiahu
    Zheng, Wei Xing
    Kang, Yu
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2018, 65 (07) : 2243 - 2255
  • [25] Neural field dynamics with local and global connectivity and time delay
    Jirsa, Viktor K.
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 367 (1891): : 1131 - 1143
  • [26] A STUDY OF THE TRANSITION FROM SPINDLES TO SPIKE AND WAVE DISCHARGE IN FELINE GENERALIZED PENICILLIN EPILEPSY - EEG FEATURES
    KOSTOPOULOS, G
    GLOOR, P
    PELLEGRINI, A
    SIATITSAS, I
    [J]. EXPERIMENTAL NEUROLOGY, 1981, 73 (01) : 43 - 54
  • [27] Spike-and-wave discharges of absence seizures asa transformation of sleep spindles: the continuing development of a hypothesis
    Kostopoulos, GK
    [J]. CLINICAL NEUROPHYSIOLOGY, 2000, 111 : S27 - S38
  • [28] Adaptive synchronization of two coupled chaotic Hindmarsh-Rose neurons by controlling the membrane potential of a slave neuron
    Le Hoa Nguyen
    Hong, Keum-Shik
    [J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) : 2460 - 2468
  • [29] Transition dynamics of generalized multiple epileptic seizures associated with thalamic reticular nucleus excitability: A computational study
    Liu, Suyu
    Wang, Qingyun
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 52 : 203 - 213
  • [30] Absence seizures with evolution into generalized tonic-clonic activity: Clinical and EEG features
    Mayville, C
    Fakhoury, T
    Abou-Khalil, B
    [J]. EPILEPSIA, 2000, 41 (04) : 391 - 394
12345