"""Create error_monitor
Generated by Phi-Octopus Eden
2025-11-06 16:10:03.821013
"""

```python
from typing import Any, Dict


class ErrorMonitor:
    """
    Monitors errors in a system and provides limited error recovery mechanisms.

    Attributes:
        error_logs: A dictionary to store error logs.
        max_errors: The maximum number of errors before the system is considered in a critical state.

    Methods:
        log_error: Logs an error with its timestamp.
        recoverable_error_threshold: Determines if there are too many recoverable errors.
        initiate_recovery: Initiates recovery steps for the system based on error logs.
    """

    def __init__(self, max_errors: int = 10) -> None:
        """
        Initializes ErrorMonitor.

        Args:
            max_errors: The maximum number of errors before recovery initiation. Default is 10.
        """
        self.error_logs: Dict[str, Any] = {}
        self.max_errors = max_errors

    def log_error(self, error_message: str, timestamp: float) -> None:
        """
        Logs an error message with a timestamp.

        Args:
            error_message: The description of the error.
            timestamp: The time at which the error occurred.
        """
        if len(self.error_logs) >= self.max_errors:
            raise Exception("Error logs are full. Please clear and retry.")
        self.error_logs[timestamp] = error_message

    def recoverable_error_threshold(self) -> bool:
        """
        Checks if there are too many recoverable errors.

        Returns:
            True if the number of recoverable errors exceeds max_errors.
        """
        return len(self.error_logs) > self.max_errors

    def initiate_recovery(self) -> None:
        """
        Initiates recovery steps for the system based on error logs.
        """
        print("Initiating system recovery...")
        # Simulate recovery actions
        if self.recoverable_error_threshold():
            print(f"Too many recoverable errors: {len(self.error_logs)}")
            print("System in critical state. Performing shutdown and reboot.")
            # Implement actual recovery steps here, e.g., sending alerts, restarting services
        else:
            print("System within safe error limits. No action required.")


# Example usage
if __name__ == "__main__":
    monitor = ErrorMonitor(max_errors=3)
    try:
        for _ in range(4):
            # Simulate errors
            raise ValueError("Simulated error")
    except Exception as e:
        print(f"Caught an exception: {e}")
    
    # Log each caught error with a timestamp
    import time
    for i in range(5):
        monitor.log_error(error_message=f"Error #{i}", timestamp=time.time())

    # Check if recovery is needed and initiate it
    monitor.initiate_recovery()
```

This code defines an `ErrorMonitor` class that logs errors, checks the threshold of recoverable errors, and initiates recovery steps. The example usage demonstrates how to use this class in a simple scenario.