Complex Generalized Synchronization and Parameter Identification of Nonidentical Nonlinear Complex Systems

Wang, Shibing; Wang, Xingyuan; Han, Bo

doi:10.1371/journal.pone.0152099

Cited by 20 publications

(15 citation statements)

References 29 publications

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“…= 10 and = 6 and Vary ∈ [20,50]. In light of Lyapunov exponents (13) the system' parameter qualities were computed (3) at which chaotic attractors, periodic, quasiperiodic attractors and fixed points exist.…”

Section: Fixmentioning

confidence: 99%

“…So, bifurcation diagrams present a kind method to picture how a system's behavior varies according to the value of a parameter [33]. Figure 2 shows ( , 5 ) bifurcation diagram for ∈ [20,50]. It can be discerned that when ∈ [20, 23.6], system (3) has solutions that approach chaotic attractors and when ∈ (23.6, 24.6] it has periodic and quasiperiodic behavior.…”

Section: Fixmentioning

confidence: 99%

“…Complex synchronization of chaotic (hyperchaotic) complex systems is a critical nonlinear occurrence [13][14][15][16][17][18][19][20][21][22][23][24][25]. Complex synchronization of chaotic complex systems considers a couple of complex chaotic systems called main and slave systems, and it means to accomplish asymptotic tracking of the conditions of the slave system to the conditions of the main system.…”

Section: Introductionmentioning

confidence: 99%

“…Complex modified generalized projective synchronization (CMGPS) [18] and complex modified hybrid projective synchronization (CMHPS) [19] were executed between the same or different dimensional partial request complex chaotic (hyperchaotic). Complex generalized synchronization as for a mind-boggling vector map [20,21] was presented for two indistinguishable or nonidentical chaotic (hyperchaotic) complex-variable systems. The complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters was studied in [22,23] while the complex modified function projective synchronization of complex chaotic systems is investigated in [24,25].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization

Mahmoud

Abood

2017

Complexity

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Another chaotic nonlinear Lü model with complex factors is covered here. We can build this riotous complex system when we add a complex nonlinear term to the third condition of the complex Lü system and think of it as if every one of the factors is mind boggling or complex. This system in real adaptation is a 6-dimensional continuous autonomous chaotic system. Different types of chaotic complex Lü system are developed. Also, another sort of synchronization is presented by us which is simple for anybody to ponder for the chaotic complex nonlinear system. This sort might be called a complex antilag synchronization (CALS). There are irregular properties for CALS and they do not exist in the literature; for example, (i) the CALS contains or fused two sorts of synchronizations (antilag synchronization ALS and lag synchronization LS); (ii) in CALS the attractors of the main and slave systems are moving opposite or similar to each other with time lag; (iii) the state variable of the main system synchronizes with a different state variable of the slave system. A scheme is intended to accomplish CALS of chaotic complex systems in light of Lyapunov function. The acquired outcomes and effectiveness can be represented by a simulation case for our new model.

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Section: Fixmentioning

confidence: 99%

Section: Fixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization

Mahmoud

Abood

2017

Complexity

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“…[2][3][4] Therefore, much attention and many efforts are devoted to investigate synchronization of chaotic complex systems in recent years, and various synchronization schemes have been proposed and realized successfully, such as complete synchronization, 5,6 antisynchronization, 7,8 lag synchronization, 9,10 phase synchronization, 11 projective synchronization, 12,13 and their extended synchronization schemes. [14][15][16][17][18][19] All of the above-mentioned synchronization methods are designed for one drive system and one response system. However, practical synchronization issues may involve more than two chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems

Wang

et al. 2016

AIP Advances

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With comprehensive consideration of generalized synchronization, combination synchronization and adaptive control, this paper investigates a novel adaptive generalized combination complex synchronization (AGCCS) scheme for different real and complex nonlinear systems with unknown parameters. On the basis of Lyapunov stability theory and adaptive control, an AGCCS controller and parameter update laws are derived to achieve synchronization and parameter identification of two real drive systems and a complex response system, as well as two complex drive systems and a real response system. Two simulation examples, namely, ACGCS for chaotic real Lorenz and Chen systems driving a hyperchaotic complex Lü system, and hyperchaotic complex Lorenz and Chen systems driving a real chaotic Lü system, are presented to verify the feasibility and effectiveness of the proposed scheme.

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Bioengineered Hybrid Collagen Scaffold Tethered with Silver‐Catechin Nanocomposite Modulates Angiogenesis and TGF‐β Toward Scarless Healing in Chronic Deep Second Degree Infected Burns

Kalirajan

Thanikaivelan

2020

Adv Healthcare Materials

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Management of burn wounds with diabetes and microbial infection is challenging in tissue engineering. The delayed wound healing further leads to scar formation in severe burn injury. Herein, a silver‐catechin nanocomposite tethered collagen scaffold with angiogenic and antibacterial properties is developed to enable scarless healing in chronic wounds infected with Pseudomonas aeruginosa under diabetic conditions. Histological observations of the granulation tissues collected from an experimental rat model show characteristic structural organizations similar to normal skin, whereas the open wound and pristine collagen scaffold treated animals display elevated dermis with thick epidermal layer and lack of appendages. Epidermal thickness of the hybrid scaffold treated diabetic animals is lowered to 33 ± 2 µm compared to 90 ± 2 µm for pristine collagen scaffold treated groups. Further, the scar elevation index of 1.3 ± 0.1 estimated for the bioengineered scaffold treated diabetic animals is closer to the normal skin. Immunohistochemical analyses provide compelling evidence for the enhanced angiogenesis as well as downregulated transforming growth factor‐ β1 (TGF‐β1) and upregulated TGF‐β3 expressions in the hybrid scaffold treated animal groups. The insights from this study endorse the bioengineered collagen scaffolds for applications in tissue regeneration without scar in chronic burn wounds.

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Complex Generalized Synchronization and Parameter Identification of Nonidentical Nonlinear Complex Systems

Cited by 20 publications

References 29 publications

A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization

A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization

Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems

Bioengineered Hybrid Collagen Scaffold Tethered with Silver‐Catechin Nanocomposite Modulates Angiogenesis and TGF‐β Toward Scarless Healing in Chronic Deep Second Degree Infected Burns

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